2 1/2% can be expressed as a fraction before we can use it to solve:
[tex]\begin{gathered} 2\frac{1}{2}=\frac{5}{2} \\ \frac{5}{2}\%=\frac{5}{2}\times\frac{1}{100}=\frac{5}{200}=\frac{1}{40} \end{gathered}[/tex]Let the unknown number be x.
2 1/2% of x can be written to be:
[tex]2\frac{1}{2}\%\times x=\frac{1}{40}x[/tex]If the result is 8, then we have:
[tex]\frac{1}{40}x=8[/tex]Therefore, the answer will be:
[tex]\begin{gathered} x=40\times8 \\ x=320 \end{gathered}[/tex]The answer is 320.